On Graded Weakly S-Prime Ideals
Let R be a commutative graded ring with unity, S be a multiplicative subset of homogeneous elements of R and P be a graded ideal of R such that P\bigcap S=\emptyset In this article, we introduce several results concerning graded S-prime ideals. Then we introduce the concept of graded weakly S-prime ideals which is a generalization of graded weakly prime ideals. We say that P is a graded weakly S-prime ideal of R if there exists s\in S such that for all x, y\in h(R), if 0\neq xy\in P, then sx\in P or sy\in P. We show that graded weakly S-prime ideals have many acquaintance properties to these of graded weakly prime ideals.
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2021 ◽
Vol 29
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pp. 173-186
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1988 ◽
Vol 53
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pp. 284-293
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2016 ◽
Vol 12
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pp. 445-463
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1998 ◽
Vol 40
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pp. 223-236
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